I remember now about the derivation of the shape.
I've had similar thoughts about facet-izing Thee Template. I've failed to have a 1/3 scale model and the gas money to take it to the Darko Wind tunnel on 20160909 with aerohead; but what I wanted to do was make versions like a Matryoshka doll, with the compound curve outside and the more faceted versions inside.
The 1-frequency version of this would be a pyramid, much like the United Nude example except the points would be fore-and aft instead of on the corners.
I agree the side edges are the problem; but one subdivision would make all the difference. They were there and pushed beyond that as an intellectual exercise. Put Lambo scale wheels under it and see what happens.
Edit: The Downforce Without Wings article is pretty good. Thanks.